1887

Abstract

SUMMARY

The article is devoted to using methods of random fields in 3-D area statistical simulation (Monte Carlo methods) in environmental geophysical monitoring problems. A new effective algorithm has been devised to simulate random field in 3D area with spherical соrrelation function, based on spectral decomposition, for investigation of chalk layer density on Rivne NPP industrial area territory. It has been considered the problem of statistical simulation of “noise” for chalk layer density realizations as random fields in 3D space. It has been constructed the statistical model for the gauss random fields in three-dimensional space, with spherical соrrelation function. It has been received of random fields in 3-D area realization with spherical соrrelation function by using those models, formulating the algorithm and building programs.

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/content/papers/10.3997/2214-4609.201902073
2019-05-15
2024-04-26
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References

  1. Chiles, J.P., Delfiner, P.
    (2012). Geostatistics: Modeling Spatial Uncertainty. 2-nd ed. - NewYork, Toronto, - JohnWiley'Sons, Inc., 695 p.
    [Google Scholar]
  2. Gneiting, T.
    (1997). Symmetric Positive Definite Functions with Applications in Spatial Statistics. Von der Universitat Bayeuth zur Erlangung des Grades eines Doktors der Naturwissenschaften (Dr. rer. nat.) genehmigte Abhandlung. 107 p.
    [Google Scholar]
  3. Menshov, O., Kuderavets, R., Vyzhva, S., Chobotok, I., Pastushenko, T.
    (2015) Magnetic mapping and soil magnetometry of hydrocarbon prospective areas in western Ukraine. Studia Geophysica et Geodaetica, 59, 614–627.
    [Google Scholar]
  4. Vyzhva, Z.O.
    (2003). About Approximation of 3-D Random Fields and Statistical Simulation. Random Operator and Stochastic Equation, Vol. 4, No. 3, 255–266
    [Google Scholar]
  5. Vyzhva, Z.O., DemidovV.K., VyzhvaA.S.
    (2018b) About statistical simulation methods of random fields on the sphere by the aircraft magnetometry data. Visn. Kyiv University. Geology, 3(82), 107–113.
    [Google Scholar]
  6. Vyzhva, Z.O.
    (2011). The Statistical Simulation of Random Processes and Fields. Kyiv: Obrii, 388 p. [In Ukrainian].
    [Google Scholar]
  7. Vyzhva, Z.O., Demidov, V.K., Vyzhva, A.S.
    (2014). The Investigation of Chalk Layer Density on the Rivne NPP Industrial Area Territory By Monte Carlo Method Using 3d Model. Geoinformatica. 3, 47–56. [In Ukrainian].
    [Google Scholar]
  8. (2018a). The statistical simulation algorithm of random fields on the sphere by the aircraft magnetometry data. 17th International Conference on Geoinformatics - Theoretical and Applied Aspects, 14–17 May 2018. Кiev. Ukraine.
    [Google Scholar]
  9. Vyzhva, Z.O., Fedorenko, К.V.
    (2013). The Statistical Simulation of 3-D Random Fields by Means Kotelnikov-Shannon Decomposition. Theor. Probability and Math. Statist.88, 17–31.
    [Google Scholar]
  10. Yadrenko, M.Y.
    (1983). Spectral theory of random fields. Optimization Software Inc., Publications Division, NewYork. 259 p.
    [Google Scholar]
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